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57509639568 = 2432399372497
BaseRepresentation
bin110101100011110101…
…110111010110010000
312111102221112101110200
4311203311313112100
51420234431431233
642230343055200
74104066604443
oct654365672620
9174387471420
1057509639568
1122431768447
12b18ba41500
135566824534
142ad7c3165a
151768ccd313
hexd63d77590

57509639568 has 30 divisors (see below), whose sum is σ = 160947116694. Its totient is φ = 19169879808.

The previous prime is 57509639557. The next prime is 57509639639. The reversal of 57509639568 is 86593690575.

57509639568 is a `hidden beast` number, since 5 + 7 + 5 + 0 + 9 + 63 + 9 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47066434704 + 10443204864 = 216948^2 + 102192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199686105 + ... + 199686392.

Almost surely, 257509639568 is an apocalyptic number.

It is an amenable number.

57509639568 is an abundant number, since it is smaller than the sum of its proper divisors (103437477126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57509639568 is a wasteful number, since it uses less digits than its factorization.

57509639568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399372511 (or 399372502 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 57509639568 in words is "fifty-seven billion, five hundred nine million, six hundred thirty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 399372497 798744994 1198117491 1597489988 2396234982 3194979976 3594352473 4792469964 6389959952 7188704946 9584939928 14377409892 19169879856 28754819784 57509639568